Please help me as soon as possible

Answer:

x = 5. y = 4

Step-by-step explanation:

7x - 4 = 31

7x = 35

x = 5

4y + 8 = 24

4y = 16

y = 4

Answer:

Step-by-step explanation:

formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = 2

x1 = - 7

y2 = -6

y1 = - 6

Solution

d = sqrt( (2 - - 7)^2 + (-6 - - 6)^2 )

d = sqrt( 9^2 + (-6 + 6)^2 )

d = sqrt(9)^2

d = 9

Based on the value of each letter, a word that can be found to have a value of 18 is Beef.

The question is not complete so I'll answer it using certain assumptions to provide a model you can apply to yours.

Assuming that the value of each letter in a word is the position of the word on the alphabet then a word that has the value of 18 would be BEEF.

The value of B would be 2.

The value of E is 5.

The value of F is 6.

When these are added up:

= 2 + 5 + 5 + 6

= 18

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Answer: graph B

Step-by-step explanation:

initial value is the value of the y-coordinate when the x-coordinate is equal to 0. That is the same to say the value at which the graph intercepts the y-axis. So, you justt have to pick the graph whose line intercepts the y-axis at 1/2.

The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.

As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:

1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.

2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.

3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.

4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.

5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.

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If the bank deposit paying simple interest grew from an initial amount of $1100 to $1265 in 6 months, then the interest rate is 30%

The initial amount = $1100

The  final amount = $1265

So simple interest = 1265-1100

= $165

Time period = 6 months = 6/12 years

We know

Simple interest I = P×r×t

Where P is the initial amount

r is the interest rate

t is the time period

Substitute the values in the equation

165 = 1100×r×(6/12)

165 = 550×r

r = 165/550

r = 0.3

r = 30%

Hence, If the bank deposit paying simple interest grew from an initial amount of $1100 to $1265 in 6 months, then the interest rate is 30%

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Answer:

3.6 in³

This should be the correct answer, good luck!

The area of the composite shape using the area formula for the different shapes is 460.48ft².

The area of composite shapes refers to the space occupied by any composite shape. A composite shape is a shape that is made by connecting a few polygons to form the required shape.

These figures or shapes can be built from a wide range of shapes, such as triangles, squares, quadrilaterals, etc. Divide a composite item into basic forms such a square, triangle, rectangle, or hexagon to get its area.

Now in the question,

First let us find the area of the semi-circle.

Area of semi-circle = πr²/2

= [3.14 × (16/2) ²]/2

= (3.14 × 8²)/2

= 200.96/2

= 100.48ft²

Now coming to the rectangle,

area of the rectangle = l × b

= 20 × 15

= 300ft²

Now for calculating the area of the triangle,

area = 1/2 × b × h

= 1/2 × 12 × 10

= 60ft²

Therefore, the area of the total figure = 100.48 + 300 + 60 = 460.48ft².

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According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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Answer:

1) Between 12.5 miles and 21.7 miles.

2) b) 75%

3) c) 95%

4) Between 13.7 miles and 20.5 miles.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by \(P = 100(1 - \frac{1}{k^{2}})\).

1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.

Within k standard deviations of the mean, and k is found when \(P = 36\). So

\(P = 100(1 - \frac{1}{k^{2}})\)

\(36 = 100 - \frac{100}{k^2}\)

\(\frac{100}{k^2} = 64\)

\(64k^2 = 100\)

\(k^2 = \frac{100}{64}\)

\(k = \sqrt{\frac{100}{64}}\)

\(k = \frac{10}{8}\)

\(k = 1.25\)

Within 1.25 standard deviations of the mean.

1.25*3.7 = 4.6 miles

17.1 - 4.6 = 12.5 miles

17.1 + 4.6 = 21.7 miles

Between 12.5 miles and 21.7 miles.

2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.

17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.

3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.

Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.

4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.

Within 1 standard deviation of the mean.

17.1 - 3.4 = 13.7

17.1 + 3.4 = 20.5

Between 13.7 miles and 20.5 miles.

Answer:

\(180units^{2}\)

Step-by-step explanation:

\(Area = \frac{1}{2} *(a + b )*h\\\\\)

Here,

(a+b) = sum of the parallel sides

h = perpendicular distance between parallel sides

Before find the area we have to find the perpendicular distance between parallel side by using Pythagorean theorem

\(7^{2} + h^{2}= 25^{2}\\49+h^{2} =625 \\h^{2}= 625-49\\h^{2}=576\\h = \sqrt{576} \\h=24\)

Now let's find the area

\(Area = \frac{1}{2} *(a + b )*h\\\\\)

\(=\frac{1}{2}*(11+4)*24\\=\frac{1}{2}*15*24\\ =180units^{2}\)

Hope this helps you.

Let me know if you have any other questions :-)

To find the median, you need to arrange the data values in ascending order and determine the middle value. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values.

Arranging the data values in ascending order:

15, 20, 25, 25, 27, 28, 30, 34

Since there are eight values in the sample, which is an even number, we need to find the average of the two middle values. In this case, the middle values are 25 and 27.

Calculating the median:

Median = (25 + 27) / 2

Median = 52 / 2

Median = 26

Therefore, the median of the given sample is 26.

Answer:

the real zeros of the function f(x) = x^2 + 4x + 1 are approximately -2.73 and -1.27.

Step-by-step explanation:

To find the real zeros of the function f(x) = x^2 + 4x + 1 using the quadratic formula, we can follow these steps:

Step 1: Identify the values of a, b, and c in the quadratic equation, f(x) = ax^2 + bx + c.

In this case, a = 1, b = 4, and c = 1.

Step 2: Write the quadratic formula, which is:

x = (-b ± √(b^2 - 4ac)) / 2a

Step 3: Substitute the values of a, b, and c into the quadratic formula.

x = (-4 ± √(4^2 - 4(1)(1))) / 2(1)

Step 4: Simplify the equation inside the square root.

x = (-4 ± √(16 - 4)) / 2

x = (-4 ± √12) / 2

Step 5: Simplify the expression under the square root.

x = (-4 ± 2√3) / 2

Step 6: Simplify the expression by dividing both the numerator and denominator by 2.

x = -2 ± √3

Therefore, the real zeros of the function f(x) = x^2 + 4x + 1 are approximately -2.73 and -1.27.

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

x > -3

Step-by-step explanation:

4 - 4x < 16

- 4x < 16 - 4

- 4x < 12 (note that both can be divided by -4)

x > -3

That's the final answer.

AND if you're co fused about why the sign changed, you should always remember this

By negative num I mean any number that starts with a minus for example -2, -3, -5, -100

The completed two-column table that we can  use to prove the congruence of ∠BAD and ∠DCB indicates that the missing proof in step 6 of the table is substitution.

Therefore correct option is option B

Congruent angles are described as angles that have the same measurement.

The two-column table is shown below;

 Statements                                                           Reasons

1. ABCD is a parallelogram with diagonal                Given

2. ║ and ║                                                       Definition of a parallelogram

3. ∠2≅∠3, ∠1≅∠4                                              Alt. int. ∠s are ≅

4. m∠2 = m∠3 and m∠1 = m∠4                         Measures of ≅ ∠s are =

5. m∠1 + m∠2 = m∠4 + m∠2                              Addition prop. of equality

6. m∠1 + m∠2 = m∠4 + m∠3                              Substitution

7. m∠1 + m∠2 = m∠BAD                                     Angle addition property

m∠3 + m∠4 = m∠DCB

8. m∠BAD = m∠DCB                                          Substitution

9. ∠BAD ≅ ∠DCB                                              Angles are congruent if   their measures are the same    

Therefore, the missing reason in the partial proof is therefore substitution.

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The measure of angle K and L in the first figure is ∠L = 23 degrees and ∠K = 157. Second figure, the measure of ∠K = ∠L = 70 degrees.

A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.

For figure 2 the two lines are parallel to each other, and the line that meets the parallel line at points at M and L are from two equal lines.

Hence, the angle suspended by both are equal, that is:

∠L = ∠M

∠L = 23 degrees.

Now, the ∠K and ∠J are created by two parallel lines; hence they are equal:

∠K = ∠J = x

The sum of interior angles of a quadrilateral is 360, so:

∠L + ∠M + ∠J + ∠K = 360

23 + 23 + x + x = 360

46 + 2x = 360

2x = 360 - 46

x = 157

Hence, the measure of angle K and L is 157 and 23 respectively.

For the second figure, the angle K and L are created by equal length of segments.

∠K = ∠L = x

The sum of interior angles of a quadrilateral is 360, so:

∠L + ∠M + ∠J + ∠K = 360

x + 90 + 130 + x = 360

2x + 220 = 360

2x= 360 - 220

x = 70

Hence, the angle of K and L is 70 degrees.

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Answer: Question 18= 135, Question 19= 540

Step-by-step explanation:

Hello there! So you were right for number 18! It is for sure 135. This is because these are alternate exterior angles which are always congruent(the same).

Number 19 is confusing however. So a pentagon is a 5 sided shape as we know. From a vertex that we will call A, we can draw two diagonals which will then separate it into triangle. 3 of them to be exact.

We are trying to find the sum of all the interior angles and we know that a triangle has a sum of 180 degrees, so since there are three, we multiple it by three.

We then get 540 degrees.

Hope this helped! Sorry if I didn’t explain it well! :(

The area of the figure can be found to be 53 cm ²

The figure given is a composite shape so to find the area of the figure, you need to divide the shape into two other shapes.

The area of the first shape is :

= Length x Width

= 5 x 4

= 20 m ²

The area of the second shape would be :

= Length x Width

= ( 3 + 5 + 3 ) x 3

= 11 x 3

= 33 cm ²

The area of the shape is :

= 20 + 33

= 53 cm ²

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The function is undefined for those values of x where the denominator is zero.

The reciprocal identity for sine, cosine, and tangent states that:

sin(x) = 1/csc(x)

cos(x) = 1/sec(x)

tan(x) = 1/cot(x)

It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.

For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.

Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.

Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.

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The general solution of the logistic equation is y = 14 / [1 - C · tⁿ], where a = - 14² / 3 and C is an integration constant. The particular solution for y(0) = 10 is y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

Herein we have a kind of ordinary differential equation with separable variables, that is, that variables t and y can be separated at each side of the expression prior solving the expression:

dy / dt = 3 · y · (1 - y / 14)

dy / [3 · y · (1 - y / 14)] = dt

dy / [- (3  / 14) · y · (y - 14)] = dt

By partial fractions we find the following expression:

- (1 / 14) ∫ dy / y + (1 / 14) ∫ dy / (y - 14) = - (14 / 3) ∫ dt

- (1 / 14) · ln |y| + (1 / 14) · ln |y - 14| = - (14 / 3) · ln |t| + C, where C is the integration constant.

y = 14 / [1 - C · tⁿ], where n = - 14² / 3.

If y(0) = 10, then the particular solution is:

y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

Answer:

Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30

Step-by-step explanation:

Product form of 30 Pair factor

1 × 30 = 30                   (1,30)

2 × 15= 30                   (2,15)

3 × 10 = 30                   (3,10)

5 × 6 = 30                    (5,6)

Answer:

Step-by-step explanation:

Givens

L = 5       inches

w = 4/3   inches.

Formula

Area = L * w

Solution

Area = 5 * 4/3

Area = 20/3

Area = 6 2/3

Or area = 6.67 square inches

Answer:

Its not a real number for the square roots of negative number

its not possible... \(\sqrt{-4}\) = -2 x -2   no...   2 x 2   no..... -2 x 2 yea but thats not square root anymore...

Step-by-step explanation:

Give me brainliest!!!

Answer:

D

Step-by-step explanation:

Answer:

18cm

Step-by-step explanation:

63 divide 350,000 the answer will be 0.00018.

Multiply this answer my 100,000 to convert it to centimeters it'll be 18cm

Hope this helped! <3

Thank you!

Answer:

3.6

Step-by-step explanation:

I=k/d^2

360=k/3^2

k=360*9

k=3240

I=k/d^2

250=3240/d^2

250d^2=3240

d^2=3240/250

d=3.6